Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics
Sliding mode control approaches to the robust regulation of linear multivariable fractional‐order dynamics
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DOI：
10.1002/rnc.1565
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发表时间：
2010-12
影响因子：
3.9
通讯作者：
A. Pisano;M. Rapaić;Zoran D. Jeličić;E. Usai
中科院分区：
文献类型：
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作者：
A. Pisano;M. Rapaić;Zoran D. Jeličić;E. Usai
滑模控制方法的开发是为了稳定一类线性不确定分数阶动力学。在进行适当的变换以简化滑动流形设计之后，提出了两种滑模控制方案。第一个是基于传统的不连续一阶滑模控制技术。第二种方案基于无颤振二阶滑模方法，该方法具有相同的鲁棒性能，但使用连续控制动作。通过李亚普诺夫分析，本文建设性地开发了简单的控制器调整公式。仿真结果证实了预期的性能。版权所有 © 2010 约翰威利父子有限公司
Sliding mode control approaches are developed to stabilize a class of linear uncertain fractional‐order dynamics. After making a suitable transformation that simplifies the sliding manifold design, two sliding mode control schemes are presented. The first one is based on the conventional discontinuous first‐order sliding mode control technique. The second scheme is based on the chattering‐free second‐order sliding mode approach that leads to the same robust performance but using a continuous control action. Simple controller tuning formulas are constructively developed along the paper by Lyapunov analysis. The simulation results confirm the expected performance. Copyright © 2010 John Wiley & Sons, Ltd.